Is 3,477,240 a Prime Number?
No, 3,477,240 is not a prime number
Number Properties
- Value:3,477,240
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101010000111011111000
- Hexadecimal:350EF8
Prime Status
3,477,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 5 × 13 × 743
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 743, 780, 936, 1170, 1486, 1560, 2229, 2340, 2972, 3715, 4458, 4680, 5944, 6687, 7430, 8916, 9659, 11145, 13374, 14860, 17832, 19318, 22290, 26748, 28977, 29720, 33435, 38636, 44580, 48295, 53496, 57954, 66870, 77272, 86931, 89160, 96590, 115908, 133740, 144885, 173862, 193180, 231816, 267480, 289770, 347724, 386360, 434655, 579540, 695448, 869310, 1159080, 1738620, 3477240
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.